Metal — insulator transition in a nonmagnetic InSb crystal semiconductor in the magnetic field

A Hamiltonian of the exchange interaction in the spin representation is developed for the couples of particles with spins equal to 3/2. The ground antiferromagnetic state is degenerated in respect to the total spin of the acceptor couple. The degeneracy is removed by a strong magnetic field that induces a transition into a magnetic and (at the same time) a conducting state.